Recall that for all t,
cos²(t) + sin²(t) = 1
Now,
x = 5 cos(t) - 7 ⇒ (x + 7)/5 = cos(t)
y = 5 sin(t) + 9 ⇒ (y - 9)/5 = sin(t)
so that substituting into the identity above, we get
((x + 7)/5)² + ((y - 9)/5)² = 1
which we can rewrite as
(x + 7)²/25 + (y - 9)²/25 = 1
(x + 7)² + (y - 9)² = 25
and this is the equation of a circle centered at (-7, 9) with radius 5.
Answer:
3636 hours
Step-by-step explanation:
The calculation of duration of baby sloth sleep is shown below:-
A three-toes sloth usually sleeps is
= 101 hours per week.
Number of week is
= 36
Since we need to compute the duration of baby sloth's sleep so we need to multiply the number of weeks with number of hours per week
Therefore,
The duration of baby sloth's sleep in 36 weeks
= 36 x 101
= 3636 hours
Alright, lets get started.
We have given a circle which has 56 cm radius.
We are asked to find its circumference.
The formula for circumference of circle = 2 pi r
Putting the value of pi and r
So the circumference = 2 * 2.142 * 56
Simplifing
Hence the circumference of circle = 351.9 cms
Answer is 351.9 cm
Hope it will help :)
Answer:
Step-by-step explanation:
last answer
I believe it is a but i will double check and post ok